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rdf:type
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Description
| - The classical concept of affine locally symmetric spaces allows a generalization for various geometric structures on a smooth manifold. We remind the notion of symmetry for parabolic geometries and we summarize the known facts for |1|-graded parabolic geometries and for almost Grassmannian structures, in particular. As an application of two general constructions with parabolic geometries, we present an example of non-flat Grassmannian symmetric space. Next we observe there is a distinguished torsion-free affine connection preserving the Grassmannian structure so that, with respect to this connection, the Grassmannian symmetric space is an affine symmetric space in the classical sense.
- The classical concept of affine locally symmetric spaces allows a generalization for various geometric structures on a smooth manifold. We remind the notion of symmetry for parabolic geometries and we summarize the known facts for |1|-graded parabolic geometries and for almost Grassmannian structures, in particular. As an application of two general constructions with parabolic geometries, we present an example of non-flat Grassmannian symmetric space. Next we observe there is a distinguished torsion-free affine connection preserving the Grassmannian structure so that, with respect to this connection, the Grassmannian symmetric space is an affine symmetric space in the classical sense. (en)
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Title
| - Remarks on Grassmannian symmetric spaces
- Remarks on Grassmannian symmetric spaces (en)
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skos:prefLabel
| - Remarks on Grassmannian symmetric spaces
- Remarks on Grassmannian symmetric spaces (en)
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skos:notation
| - RIV/00216224:14410/08:00025215!RIV10-GA0-14410___
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http://linked.open...avai/riv/aktivita
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http://linked.open...avai/riv/aktivity
| - P(GP201/06/P379), P(LC505)
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http://linked.open...iv/cisloPeriodika
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http://linked.open...vai/riv/dodaniDat
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http://linked.open...aciTvurceVysledku
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http://linked.open.../riv/druhVysledku
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http://linked.open...iv/duvernostUdaju
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http://linked.open...titaPredkladatele
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http://linked.open...dnocenehoVysledku
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http://linked.open...ai/riv/idVysledku
| - RIV/00216224:14410/08:00025215
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http://linked.open...riv/jazykVysledku
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http://linked.open.../riv/klicovaSlova
| - parabolic geometries; Weyl structures; almost Grassmannian structures; symmetric spaces (en)
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http://linked.open.../riv/klicoveSlovo
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http://linked.open...odStatuVydavatele
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http://linked.open...ontrolniKodProRIV
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http://linked.open...i/riv/nazevZdroje
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http://linked.open...in/vavai/riv/obor
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http://linked.open...ichTvurcuVysledku
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http://linked.open...cetTvurcuVysledku
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http://linked.open...vavai/riv/projekt
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http://linked.open...UplatneniVysledku
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http://linked.open...v/svazekPeriodika
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http://linked.open...iv/tvurceVysledku
| - Zalabová, Lenka
- Žádník, Vojtěch
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issn
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number of pages
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http://localhost/t...ganizacniJednotka
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